Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11408b |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1856 |
Modular degree for the optimal curve |
Δ |
-262384 = -1 · 24 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 2 3 5 2 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,131] |
[a1,a2,a3,a4,a6] |
j |
-602275072/16399 |
j-invariant |
L |
6.1922132982899 |
L(r)(E,1)/r! |
Ω |
3.096106649145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5704b1 45632s1 102672s1 |
Quadratic twists by: -4 8 -3 |